Anelka is due to begin a five-match ban imposed for making the "quenelle" gesture, which has anti-Semitic links, after scoring against West Ham on December 28. An independent regulatory commission accepted there was no intent by Anelka to be anti-Semitic.
His club opted not to appeal against the sanction, and after holding talks with his employers the former France striker wrote on Twitter: "I have taken the decision to free myself and put an end to the contract linking me with West Bromwich Albion."
Anelka claims he made the gesture in support of his friend Dieudonne M'bala M'bala, a French comedian who has been convicted seven times of anti-Semitic crimes.
Following the incident, Anelka started all four of Albion's Premier League games in January. But he has not featured since and is banned for the upcoming trips to Swansea, Hull and Norwich as well as home games against Cardiff and Tottenham.
Over the course of three posts written in French on his official Twitter account, Anelka wrote: "Following talks between the club and me, propositions were made to me in order to reintegrate me into the squad under certain conditions that I cannot accept.
"Wishing to retain my integrity, I have therefore taken the decision to free myself and put an end to the contract linking me with West Bromwich Albion to 2014, with immediate effect."
However, the Midlands-based club have released a statement confirming that they have received nothing from the player or his advisers confirming his decision.
The statement read: "The Club confirms it has been continuing discussions with Nicolas Anelka and his advisers as part of its own internal enquiry into the gesture he made after scoring against West Ham United on December 28.
"Following the conclusion of the FA’s enquiry into the same incident, the Club had hoped to conclude its own investigations next week.
"The Club notes Nicolas Anelka’s comments on Twitter this evening (Friday). However, the club has received nothing formally regarding the termination of Nicolas Anelka’s contract from either him or his advisers.
"The Club regards the release of such a statement on Social Media as highly unprofessional and will make a further statement when appropriate."
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- West Bromwich Albion
- West Ham